(3) Consider the sequence x + 3,x + 7,4x – 2,. . (a) If the sequence is arithmetic, find x and then determine each of the 3 terms and the 4th term. (b) If the sequence is geometric, find x and then determine each of the 3 terms and the 4th term.

Q: For the sequence an = n +1' its first term is its second term is its third term is its fourth term…

A:

Q: 1. For sequence A, describe a way to produce each new term from the previous 2. For sequence B,…

A:

Q: Suppose that a sequence is defined as follows a1 = -2,   an = -3an-1 +7 for n> 2 list the first 4…

A:

Q: For the sequence an = 5 + 3 · (n – 1), - its first term is its second term is its third term is its…

A:

Q: Consider the sequence x + 3, x + 7, 4x − 2, . . . . . . . . . . . . . If the sequence is geometric,…

A:

Q: Find the 9th and 10th terms of the sequence a, = 5n + 3. The 9th term is The 10th term is

A: Given : an = 5n+3

Q: For the sequence an = 2(an- - 2) and a1 = 3, its first term is its second term is its third term is…

A:

Q: (3) Consider the sequencex + 3,x + 7,4x - 2,.......... (a) If the sequence is arithmetic, find x and…

A: As per our policy I can solve only one Question. Kindly please repost the Q4

Q: For a particular arithmetic sequence, find the sum of the first 25 terms. The 6th term = 121 and the…

A: An arithmetic sequence is a sequence in which each succeeding term is obtained by adding a fixed…

Q: For the sequence an = An –1+ an and a1 = 2, a2 = 3, - 2 its first term is its second term is its…

A:

Q: (3) Consider the sequence x + 3,x + 7,4x – 2,.... (a) If the sequence is arithmetic, find x and then…

A:

Q: Suppose that a sequence is defined as follows. a1=-4,   an=3an-1+7 for n>2 List the first four…

A: Given: The given sequence is defined as, To determine: The first four terms of the sequence where

Q: Find an explicit formula for a sequence of the form  a1,  a2,  a3,

A: According to the question, the initial terms of the sequence are: 0,-12,23,-34,45,-56, and 67   The…

Q: and

A:

Q: Consider the sequence x + 3,x + 7,4x − 2,............. If the sequence is geometric, find x and…

A:

Q: For the sequence an = an– 1+ an–2 and a1 = 5, a2 = - 5, а2 = 6, its first term is its second term is…

A: Given an=an-1+an-2 a1=5,a2=6

Q: 20 For the sequence an = n+1 its first term is its second term is its third term is its fourth term…

A:

Q: For the sequence an 2(an-1-2) and a1 = 2, its first term is its second term is its third term is its…

A:

Q: 2. (a) What is a recursively defined sequence? (b) Find the first four terms of the sequence…

A: (a) A recursive defined sequence is a sequence in which terms are defined using one or more previous…

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 4…

A: Given recursion formula, an=2an-1+3 for n≥2 a1=4

Q: For the sequence an = an-1 + an 2 and a₁ = = 1, its first term is 1 its second term is 1 its third…

A:

Q: for the sequence a_n=a_{n-8}+a_{n-2} and a_1=1,  a_2=2 Its First term is: Its Second term is: Its…

A: an=an-1+an-2 , a1=1 , a2=2

Q: For the sequence an = 10 +(– 1)", its first term is its second term is its third term is its fourth…

A:

Q: (3) Consider the sequencex + 3,x + 7,4x – 2,........... (a) If the sequence is arithmetic, find x…

A:

Q: An auditorium has 50 seats in the first​ row, 56 seats in the second​ row, 62 seats in the third​…

A:

Q: (3) Consider the sequence x + 3, x + 7,4x - 2,.. . (a) If the sequence is arithmetic, find x and…

A: We use the definition of Arithmetic sequence and Geometric sequence to find the answer of the given…

Q: Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the…

A: Given: The geometric sequence,  2, 22, 242, ... To find: The formula for the nth term of the…

Q: (3) Consider the sequence x + 3,x + 7,4x − 2,............. (a) If the sequence is arithmetic, find…

A: For the given sequence   x + 3,x + 7,4x − 2,.............

Q: 13 For the sequence an = n +1' its first term is its second term is its third term is its fourth…

A:

Q: (3) Consider the sequence x + 3, x + 7,4x - 2,............ (a) If the sequence is arithmetic, find x…

A: According to the question,  we have the sequence: x+3, x+7, 4x-2,...   Assuming the sequence is…

Q: Find all values of x such that x – 4, x + 4, and 4x – 4 form a geometric sequence. Give your answers…

A:

Q: For the sequence an = an –1 + an –2 and a1 = 3, a2 = 4, : 4, its first term is its second term is…

A: Given sequence is an=an-1+an-2   and a1=3, a2=4. Here,   a1 is the first term of the sequence a2 is…

Q: 8 For the sequence an = n+1' its first term is its second term is its third term is its fourth term…

A:

Q: th A sequence is defined by f(0)=-4, f(n)=f(n-1)-2for n > 1. Write a definition for the n term of…

A: Given:f0=-4 , fn=fn-1 for n≥1then write a definition for the nth term of the sequence.

Q: Find the sum of the first five terms of the sequence with the given general term. an = 4n

A:

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 5…

A: Given that, an=3an-1-1a1=5

Q: For the sequence an = An –1 + an – 2 and a1 1, a2 = 2, its first term is its second term is its…

A:

Q: Find a formula for the general term an of the sequence {2, 20, 2, 20, 2, · · · } assuming that the…

A:

Q: For the sequence an = an -1+ an – 2 and a1 - 3, а2 4, its first term is its second term is its third…

A: Given  an = an-1+an-2   a1 = 3 , a2 = 4  To find  first five terms

Q: 19 For the sequence an n+1' its first term is its second term is its third term is its fourth term…

A: Solve the sequence

Q: For the sequence a, = 1+(- 1)", its first term is its second term is its third term is its fourth…

A: an = 1 +(-1)n Generally sequence starts from n = 0.First term n = 0a0 = 1 + 1 = 2Second term n =…

Q: Find the first 10 terms of the sequence a, = 3n + 3. its 9th term is its 10th term is

A: Given : an = 3n + 3

Q: (3) Consider the sequence x + 3, x + 7,4x – 2,.. . (a) If the sequence is arithmetic, find x and…

A: We know that, For arithmetic series, d=a2-a1=a3-a2  For geometric series, r=a2/a1 = a3/a2  So from…

Q: 3. a) Determine x so that 2x, 3x +1, and x² + 2 are the first three terms of an arithmetic sequence.…

A:

Q: The sequence is defined using recursion formulas. Write the first four terms of the sequence.a1 = 3…

A: a1=3 , an=4 an-1

Q: Find a formula for thr nth term of the arithmetic sequence. 24,22,20,18,16, …

A: Given query is to find the nth term of the sequence.

Q: For the sequence an = ат — 1 + аm — 2 and - - 3, а2 4, a1 || its first term is its second term is…

A: Given   an = an-1+ an-2  a1= 3, a2= 4  Find  1) first term 2) second term  3) third term  4) fourth…

Q: Consider the sequence x +3, x +7 ,4x -2, ……………….. 1. If the sequence is arithmetic, find x and then…

A:

Q: For the sequence an = an-1+ an–2 and a1 = 2, a2 = 3, its first term is its second term is its third…

A: We have to find first ,second, third, fourth and fifth for the given sequence: an=an-1+an-2 and…

Q: 9. Find the value of x and y if x-y, 7x+y-1, and -5y are consecutive terms of an arithmetic…

A: As per the instruction, we will be answering only the first question. We need to find all the value…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.